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Finding the Third Proportional to 299,540 and 641,200

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Solution

The third proportional to 299,540 and 641,200 is: 1,372,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,540 : 641,200 = 641,200 : x
  2. Step 2: Convert to fraction form
    299,540/641,200 = 641,200/x
  3. Step 3: Cross multiply
    299,540x = 641,200 × 641,200
  4. Step 4: Simplify right side
    299,540x = 411,137,440,000
  5. Step 5: Solve for x
    x = 411,137,440,000/299,540
  6. Step 6: Final answer
    x = 1,372,562.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.